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141252768 = 2533163487
BaseRepresentation
bin10000110101101…
…01100010100000
3100211210101101000
420122311202200
5242130042033
622003312000
73333425436
oct1032654240
9324711330
10141252768
1172808328
123b37b600
1323358627
1414a8cd56
15c602a13
hex86b58a0

141252768 has 48 divisors (see below), whose sum is σ = 411989760. Its totient is φ = 47083968.

The previous prime is 141252767. The next prime is 141252809. The reversal of 141252768 is 867252141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141252767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80880 + ... + 82607.

It is an arithmetic number, because the mean of its divisors is an integer number (8583120).

Almost surely, 2141252768 is an apocalyptic number.

141252768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141252768 is an abundant number, since it is smaller than the sum of its proper divisors (270736992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141252768 is a wasteful number, since it uses less digits than its factorization.

141252768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163506 (or 163492 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 141252768 is about 11884.9807740694. The cubic root of 141252768 is about 520.7936205127.

The spelling of 141252768 in words is "one hundred forty-one million, two hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 163487 326974 490461 653948 980922 1307896 1471383 1961844 2615792 2942766 3923688 4414149 5231584 5885532 7847376 8828298 11771064 15694752 17656596 23542128 35313192 47084256 70626384 141252768